Vol. 23 No. 4 (2013)

Topological Lifshitz Phase Transition in Effective Model of QCD with Chiral Symmetry Non-restoration

Tran Huu Phat
Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Vietnam. Center for Advance Study, Dong Do University, 170 Pham Van Dong, Hanoi, Vietnam.
Phung Thi Thu Ha
Institute of Physics, 10 Dao Tan, Hanoi, Vietnam Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Vietnam
Nguyen Tuan Anh
Electric Power University, 235 Hoang Quoc Viet, Hanoi, Vietnam.

Published 04-12-2013


  • 21.10.Dr

How to Cite

Huu Phat, T., Thu Ha, P. T., & Tuan Anh, N. (2013). Topological Lifshitz Phase Transition in Effective Model of QCD with Chiral Symmetry Non-restoration. Communications in Physics, 23(4), 289. https://doi.org/10.15625/0868-3166/23/4/3411


The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential.

It is found that during phase transition the quark system undergoes a first-order transition from low density fully-gapped state to high density state with Fermi sphere which is protected by momentum-space topology. The Lifshitz phase diagram in the plane of temperature and baryon chemical potential is established.

The critical behaviors of various equations of state are determined.


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